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Finding the Fourth Proportional to 1,174.97, 1,623.22 and 997.65

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Solution

The fourth proportional to 1,174.97, 1,623.22 and 997.65 is: 1,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.97 : 1,623.22 = 997.65 : x
  2. Step 2: Convert to fraction form
    1,174.97/1,623.22 = 997.65/x
  3. Step 3: Cross multiply
    1,174.97x = 1,623.22 × 997.65
  4. Step 4: Simplify right side
    1,174.97x = 1,619,402.94
  5. Step 5: Solve for x
    x = 1,619,402.94/1,174.97
  6. Step 6: Final answer
    x = 1,378.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.